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Finding the Fourth Proportional to 11,843.04, 17,772.64 and 7,672.64

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Solution

The fourth proportional to 11,843.04, 17,772.64 and 7,672.64 is: 11,514.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.04 : 17,772.64 = 7,672.64 : x
  2. Step 2: Convert to fraction form
    11,843.04/17,772.64 = 7,672.64/x
  3. Step 3: Cross multiply
    11,843.04x = 17,772.64 × 7,672.64
  4. Step 4: Simplify right side
    11,843.04x = 136,363,068.57
  5. Step 5: Solve for x
    x = 136,363,068.57/11,843.04
  6. Step 6: Final answer
    x = 11,514.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.